# GCF of 64 and 80

The gcf of 64 and 80 is the largest positive integer that divides the numbers 64 and 80 without a remainder. Spelled out, it is the greatest common factor of 64 and 80. Here you can find the gcf of 64 and 80, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 64 and 80, but also that of three or more integers including sixty-four and eighty for example. Keep reading to learn everything about the gcf (64,80) and the terms related to it.

## What is the GCF of 64 and 80

If you just want to know what is the greatest common factor of 64 and 80, it is 16. Usually, this is written as

gcf(64,80) = 16

The gcf of 64 and 80 can be obtained like this:

• The factors of 64 are 64, 32, 16, 8, 4, 2, 1.
• The factors of 80 are 80, 40, 20, 16, 10, 8, 5, 4, 2, 1.
• The common factors of 64 and 80 are 16, 8, 4, 2, 1, intersecting the two sets above.
• In the intersection factors of 64 ∩ factors of 80 the greatest element is 16.
• Therefore, the greatest common factor of 64 and 80 is 16.

Taking the above into account you also know how to find all the common factors of 64 and 80, not just the greatest. In the next section we show you how to calculate the gcf of sixty-four and eighty by means of two more methods.

## How to find the GCF of 64 and 80

The greatest common factor of 64 and 80 can be computed by using the least common multiple aka lcm of 64 and 80. This is the easiest approach:

gcf (64,80) = $\frac{64 \times 80}{lcm(64,80)} = \frac{5120}{320}$ = 16

Alternatively, the gcf of 64 and 80 can be found using the prime factorization of 64 and 80:

• The prime factorization of 64 is: 2 x 2 x 2 x 2 x 2 x 2
• The prime factorization of 80 is: 2 x 2 x 2 x 2 x 5
• The prime factors and multiplicities 64 and 80 have in common are: 2 x 2 x 2 x 2
• 2 x 2 x 2 x 2 is the gcf of 64 and 80
• gcf(64,80) = 16

In any case, the easiest way to compute the gcf of two numbers like 64 and 80 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 64,80. The calculation is conducted automatically.

The gcf is...
Frequently searched terms on our site also include:

## Use of GCF of 64 and 80

What is the greatest common factor of 64 and 80 used for? Answer: It is helpful for reducing fractions like 64 / 80. Just divide the nominator as well as the denominator by the gcf (64,80) to reduce the fraction to lowest terms.

$\frac{64}{80} = \frac{\frac{64}{16}}{\frac{80}{16}} = \frac{4}{5}$.

## Properties of GCF of 64 and 80

The most important properties of the gcf(64,80) are:

• Commutative property: gcf(64,80) = gcf(80,64)
• Associative property: gcf(64,80,n) = gcf(gcf(80,64),n) $\hspace{10px}n\hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.

To sum up, the gcf of 64 and 80 is 16. In common notation: gcf (64,80) = 16.

If you have been searching for gcf 64 and 80 or gcf 64 80 then you have come to the correct page, too. The same is the true if you typed gcf for 64 and 80 in your favorite search engine.

Note that you can find the greatest common factor of many integer pairs including sixty-four / eighty by using the search form in the sidebar of this page.

Questions and comments related to the gcf of 64 and 80 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the greatest common factor of 64 and 80 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Posted in Greatest Common Factor

## Related pages

prime factorization for 75prime factorization of 418common multiples of 2 and 8what is the gcf of 63 and 42find the prime factorization of 245factorization of 196the prime factorization of 114what is the prime factors of 81factorization of 147divisors of 144is 567 a prime numberprime factors of 231what is the greatest common factor of 72 and 81lcm of 5 7700 prime factorizationgcf of 70 and 98find the prime factorization of 28easiest way to find the greatest common factorprime factorization 150highest common factor calculatorgreatest common factor of 48 and 80multiplication table chart up to 100prime factorization of 375is 42 a prime or composite numbermultiplication table to 300what is the lcm of 4what is the prime factorization of 285is 27 a prime number or a composite numbergreatest prime factor of 100what is the prime factorization of 525what is the lcm of 9write 52 as a product of prime factorsis 135 a prime or composite numberfind the gcf of 48 and 72prime factors 120common multiples of 8is 153 a prime numberprime factorization of 85prime factorization of 98 using exponentswhat is the prime factorization of 196what is the prime factorization of 147prime factors of 462prime factorization of 201write the prime factorization of 27what is the prime factorization of 625common multiples of 9prime factorization of 130is 19 a prime or composite numbergcfcalculatortimes tables 1-20prime factorization of 71what is the prime factor of 64multiplication table that goes up to 1000what is the prime factorization of 10what is the prime factorization of 53what is the prime factorization of 99what is the gcf of 33 and 66what is the prime factor of 54multiplication chart 30what is a prime factorization of 72prime factorization of 169what is the lcm of 2 and 4what is the prime factorization for 150gcf of 81 and 64is 117 prime numberwrite 99 as a product of prime factorswhat is the prime factorization of 43prime factorization of 160find the greatest common factor calculatorwhat is 42 as a product of prime factorsgcf of 75 and 60multiplication table up to 25